Question: Let R be the region bounded by y = ln x, the x-axis, and the line x = a, where a > 1. a. Find

Let R be the region bounded by y = ln x, the x-axis, and the line x = a, where a > 1. 

a. Find the volume V1(a) of the solid generated when R is revolved about the x-axis (as a function of a).

b. Find the volume V2(a) of the solid generated when R is revolved about the y-axis (as a function of a).

c. Graph V1 and V2. For what values of a > 1 is V1(a) > V2(a)?

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